Branes from Matrix Theory in PP-Wave Background

TL;DR

This paper derives the supersymmetry algebra in Matrix theory for M-theory in a pp-wave background, identifying BPS states as rotating membranes and five-branes, revealing their supersymmetry properties.

Contribution

It introduces the supersymmetry algebra of supercharge density in Matrix theory for the pp-wave background and characterizes BPS states with central charges.

Findings

BPS states correspond to rotating membranes and five-branes.

BPS states preserve fractions of supersymmetry.

Activation of BPS states requires large N limit.

Abstract

Based on the recently proposed action for Matrix theory describing the DLCQ M theory in the maximally supersymmetric pp-wave background, we obtain the supersymmetry algebra of supercharge density. Using supersymmetry transformation rules for fermions, we identify BPS states with the central charges in the supersymmetry algebra, which can be activated only in the large N limit. They preserve some fraction of supersymmetries and correspond to rotating transverse membranes and longitudinal five branes.